#3: Give a proof by contraposition of the following theorem.
"If n is an integer and n^(3)+5 is odd, then n is even"
If n is an integer and n^(3)+5 is odd, then n is even
Proof by contraposition:
We prove that:
If n is odd, then n^(3)+5 is even.
#4:
Let A={5,6,7} and B={6,7}
(a) List the elements of (A∪B)
(b) List the elements of (B∪A')
(c) List the elements of (A∪B) ∩ (B∪A)
#5:
Write out the power set of the following set: {1,2,3,4}.
#6:
Given the following bags, answer the questions:
Let A={1,1,m,m,n,n,n,n} and B={1,m,m,m,n}
(a) List the elements of (A∪B)
(b) List the elements of (A∩B)
(c) List the elements of A+B
(d) List the elements of A - B
#7:
